Today, there is a great tendency toward using fractional calculus to solve engineering
problems. The control is one of the fields in which fractional calculus has attracted a lot of …

The aim of the paper is to present the fundamental definitions connected to fractional
differentiation and to present an overview of the CRONE approach in the fields of system …

This paper aims at designing a nonasymptotic and robust pseudo-state estimator for a class
of fractional order linear systems which can be transformed into the Brunovsky's observable …

The integer order differentiation by integration method based on the Jacobi orthogonal
polynomials for noisy signals was originally introduced by Mboup, Join and Fliess. We …

In this paper, a class of fractional order vibration systems is considered, where the fractional
differentiation orders are arbitrary real numbers between 0 and 2. The objective is to fast and …

This paper aims at designing a fractional order differentiator for a class of signals satisfying a
linear differential equation with unknown parameters. A generalized modulating functions …

A robust attitude quadrotor control based on a novel fractional order PI nonlinear structure is
proposed and experimentally validated. The proportional action depends on a nonlinear …

This study is devoted to a nonlinear filter-based adaptive fuzzy output-feedback control
scheme for uncertain fractional-order (FO) nonlinear systems with unknown external …

This paper develops and evaluates state-dependent parameter (SDP) control systems for
the hydraulically actuated dual-manipulators of a mobile nuclear decommissioning robot. A …

This work presents a comparative analysis on the stability of several fractional-order PI
controllers. The stability analysis is developed by assuming a frequency domain tuning of …